Due to large uncertainties embedded in their geotechnical parameters, dynamic numerical
models of landslide run-out distance can only be reliably applied to conduct post-failure …

This study proposes novel methods for preserving the shape of positive and range-restricted
data using a quintic trigonometric Bézier curve with two shape parameters. Automated …

The shape optimization of interpolation curves is a crucial and intractable technique in
scientific visualization, data analysis, manufacturing and computer-aided design and is …

This paper discusses the construction of new C2 rational cubic spline interpolant with cubic
numerator and quadratic denominator. The idea has been extended to shape preserving …

This work addresses the shape preserving interpolation problem for visualization of positive
data. A piecewise rational function in cubic/quadratic form involving three shape parameters …

In this study, a new scheme for positivity preserving interpolation is proposed by using C-1
rational quartic spline of (quartic/quadratic) with three parameters. The sufficient condition …

Для непрерывной на отрезке функции построены интерполяционные рациональные
сплайны, последовательность которых для любой последовательности сеток с …

A new rational quintic interpolation scheme for curve design is presented. The new scheme
is suggested for scalar 2D data and has three free parameters that provide design flexibility …

A class of rational quartic/cubic spline interpolants with three families of local control
parameters is constructed, which can be C^ 2 C 2 continuous without solving a global linear …

This paper discusses the positivity preserving interpolation for positive surfaces data by
extending the C1 rational cubic spline interpolant of Karim and Kong to the bivariate cases …